True or false. If Ax = 0 has an infinite number of solutions then every system Ax = b is consistent. If true give a proof, otherwise give a counterexample. Solution Infinite solution of Ax=0 occurs when number of equations are less than number of variables. same will be true for Ax=b because after adding non zero constant, number of equations will still be less than number of variables. Hence solution exists for Ax=b which means Ax=b is consistent is true..

1. Write a C program to find factorial of an integer n, where the user enters n. Don't use recursion.
Solution
#include
int main()
{
int i,n,fact=1;
printf("Enter a natural number:");
scanf("%d",&n);
for(i=2,fact=1;i<=n;i++)
{
fact*=i;
}
printf("The factorial of the number is %d. ",fact);
return 0;
}